{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "\n",
    "import sys \n",
    "from os import getcwd, path\n",
    "sys.path.append(path.dirname(getcwd()))\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sb\n",
    "import pandas as pd\n",
    "%matplotlib inline\n",
    "import numpy as np\n",
    "from utils import data\n",
    "import cohorts"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from utils.paper import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from cohorts.plot import mann_whitney_plot\n",
    "from cohorts.functions import missense_snv_count\n",
    "from scipy.stats.stats import pearsonr"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'dataframe_hash': -2899676230513618006,\n",
      " 'provenance_file_summary': {u'cohorts': u'0.4.0+3.gda968fb',\n",
      "                             u'isovar': u'0.0.6',\n",
      "                             u'mhctools': u'0.3.0',\n",
      "                             u'numpy': u'1.11.1',\n",
      "                             u'pandas': u'0.18.1',\n",
      "                             u'pyensembl': u'1.0.3',\n",
      "                             u'scipy': u'0.18.1',\n",
      "                             u'topiary': u'0.1.0',\n",
      "                             u'varcode': u'0.5.10'}}\n"
     ]
    }
   ],
   "source": [
    "cohort = data.init_cohort()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "same_samples_index = ['0040','8728','1249','0471','1233','2849','6428','2389','9517','0522',\n",
    "                      '6800','5338','2131','5122','1849','7729','9723','9881',\n",
    "                      '6229','2278','1994','2937','7577','3529','5037']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def read_sig_csv(path):\n",
    "    sigs = pd.read_csv(path, dtype={\"Sample\": str})\n",
    "    sigs.index = sigs[\"Sample\"]\n",
    "    sigs = sigs.reindex(same_samples_index)\n",
    "    return sigs\n",
    "\n",
    "sigs_path = data.REPO_DATA_DIR + \"/rizvi_cohort_signatures.csv\"\n",
    "sigs_df = read_sig_csv(sigs_path)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "apobec_col_name = \"APOBEC Signature\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# [#114](https://github.com/hammerlab/bladder-analyses/issues/114): Did APOBEC or Signature 5 (ERCC2) correlate with mutational burden?\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "inner join with ensembl_coverage: 25 to 25 rows\n"
     ]
    }
   ],
   "source": [
    "missense_df = cohort.as_dataframe(on = {\"missense_snv_count\": missense_snv_count})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "sub_df = sigs_df[[\"Signature.5\", \"Signature.2\", \"Signature.13\", \"Sample\"]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def apobec_value(row):\n",
    "    return np.linalg.norm([row[\"Signature.2\"], row[\"Signature.13\"]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def ercc2_value(row):\n",
    "    return row[\"Signature.5\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "mgd = pd.merge(missense_df, sub_df, left_on=\"patient_id\", right_on=\"Sample\")\n",
    "mgd[apobec_col_name] = mgd.apply(apobec_value, axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### APOBEC signature vs. mutational burden (missense snv count)\n",
    "Pearson correlation coefficient: 0.32\n",
    "p value: 0.12"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "xticks = list(np.array(range(0,4,1)) * .2)\n",
    "yticks = list(np.array(range(0, 15, 2)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "inner join with signatures: 25 to 25 rows\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{{{apobec_vs_missense_pearsonr:n=25, Pearson r=0.40 p=0.048}}}\n",
      "{{{apobec_vs_missense_plot}}}\n"
     ]
    },
    {
     "data": {
      "image/png": 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Kks27777Lo48+yq5du/D5fEyePJmrr76az3zmM0m/lxAiu3hcLjwOB2ZFyehp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\nhBCr+n+A6UuL2/rrRQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f429a3f7950>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "g = cohort.plot_correlation(on={apobec_col_name: apobec_value,\n",
    "                          \"Missense SNV Count / MB\": missense_snv_count},\n",
    "                      join_with=\"signatures\",\n",
    "                      stat_func=pearsonr,\n",
    "                      show_stat_func=False,\n",
    "                      plot_kwargs={\"kind\": \"reg\", \"xlim\": (-0.1,0.7),\n",
    "                                       \"ylim\": (-1, 13)})\n",
    "_ = g.plot.ax_joint.set_yticks(yticks)\n",
    "_ = g.plot.ax_joint.set_xticks(xticks)\n",
    "\n",
    "hyper_label_printer(pearsonr_formatter, label=\"apobec_vs_missense_pearsonr\", results=g)\n",
    "print \"{{{apobec_vs_missense_plot}}}\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### ERCC2 signature vs. mutational burden (missense snv count)\n",
    "Pearson correlation coefficient: -0.44\n",
    "p value: 0.027"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "inner join with signatures: 25 to 25 rows\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{{{ercc2_vs_missense_pearsonr:n=25, Pearson r=-0.28 p=0.17}}}\n",
      "{{{ercc2_vs_missense_plot}}}\n"
     ]
    },
    {
     "data": {
      "image/png": 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dbN68ucf7JeoofgXjkloqK9GmpMTdTD8hRN+0RiMA3jicyRdWg/rVr37Fpk2b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\nCHt7e/j7+yMzMxOJiYl45513dGaeluTkZKSlpWHChAno168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t7V6dRk1NDTIzM+Hv788l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\niRIUIYQQnUQJihBCiE6iBEUIIUQn/R8fNtj7TtZ62gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f429cdca790>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "g = cohort.plot_correlation(on={\"ERCC2 Signature\": ercc2_value,\n",
    "                          \"Missense SNV Count / MB\": missense_snv_count},\n",
    "                      join_with=\"signatures\",\n",
    "                      stat_func=pearsonr,\n",
    "                      show_stat_func=False,\n",
    "                      plot_kwargs={\"kind\": \"reg\"})\n",
    "                                        #, \"xlim\": (-0.1,0.7),\n",
    "                    #                   \"ylim\": (-1, 13)})\n",
    "#_ = g.plot.ax_joint.set_yticks(yticks)\n",
    "#_ = g.plot.ax_joint.set_xticks(xticks)\n",
    "\n",
    "hyper_label_printer(pearsonr_formatter, label=\"ercc2_vs_missense_pearsonr\", results=g)\n",
    "print \"{{{ercc2_vs_missense_plot}}}\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Signature correlation with benefit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def signatures_normalized_value(row, cohort, signature_df, signatures_list, \n",
    "                     **kwargs):\n",
    "    \"\"\"\n",
    "    The behavior of np.linalg.norm is such that this will return the raw signature value if\n",
    "    `signatures_list` is of length 1.\n",
    "    If there is more than 1 signature specified, e.g. for APOBEC signatures [2, 13], returns their\n",
    "    normalized value\n",
    "    \"\"\"\n",
    "    patient_id = row[\"patient_id\"]\n",
    "    \n",
    "    def normed_value(patient_id):\n",
    "        if patient_id in signature_df.index:\n",
    "            sig_values = [signature_df.at[patient_id, \"Signature.{}\".format(s)] for s in signatures_list]\n",
    "            return np.linalg.norm(sig_values)\n",
    "        return np.nan\n",
    "    \n",
    "    return normed_value(patient_id)    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "## APOBEC: Signatures 2 & 13 from COSMIC"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mann-Whitney test: U=92.0, p-value=0.23387287738 (two-sided)\n",
      "{{{apobec_signature_benefit_plot}}}\n",
      "{{{apobec_signature_benefit_benefit:0.19 (range 0.00-0.56)}}}\n",
      "{{{apobec_signature_benefit_no_benefit:0.00 (range 0.00-0.46)}}}\n",
      "{{{apobec_signature_benefit_mw:n=25, Mann-Whitney p=0.23}}}\n"
     ]
    },
    {
     "data": {
      "image/png": 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ENZDa054kJiYiIiICt2/fRl5ensJzXB6XiEg/qRUi165dw+jRo5XCA+DyuERE+kytENm0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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f429cb5a990>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mann_whitney_hyper_label_printer(cohort.plot_benefit(on={apobec_col_name:\n",
    "                                lambda row: signatures_normalized_value(row, cohort,\n",
    "                                                     signatures_list=[2,13],\n",
    "                                                     signature_df=sigs_df)}),\n",
    "                                label=\"apobec_signature_benefit\")\n",
    "#results.plot.set_ylabel(apobec_col_name)\n",
    "\n",
    "#print \"{{{apobec_signature_benefit}}}\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from cohorts.survival import plot_kmf"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "OS\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "# no condition 13\n",
      "# with condition 12\n"
     ]
    },
    {
     "data": {
      "image/png": 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LFi0AAA8fPkRKSgrOnz+P48ePQyaT1VtoIiLSHkqL5qOPPkJ4eDgKCgoQHR2N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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f429b3ce4d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "print(\"OS\")\n",
    "_ = cohort.plot_survival(on={\"APOBEC Signature\": lambda row: signatures_normalized_value(row, cohort,\n",
    "                         signatures_list=[2,13], signature_df=sigs_df)}, how=\"os\")\n",
    "#                         legend_label = \"APOBEC Signature\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "OS\n",
      "# no condition 13\n",
      "# with condition 12\n"
     ]
    },
    {
     "data": {
      "image/png": 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TpujWrRs6duxYJ0GJiEg3VVtontShQwd06NBBzCxERFQPPXOaACIiohfBQkMkMlneP7gS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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f429c50f810>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "print(\"OS\")\n",
    "_ = cohort.plot_survival(on=signatures_normalized_value, \n",
    "                         signatures_list=[2,13], signature_df=sigs_df, how=\"os\", \n",
    "                         legend_label = \"APOBEC Signature\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "PFS\n",
      "# no condition 13\n",
      "# with condition 12\n"
     ]
    },
    {
     "data": {
      "image/png": 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srKwQHByMiRMn4qeffgIA6OrqYt68eeJlzenp6WjevPS9ICX33WRmZsLQ0LDq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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f429c37f950>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "print(\"PFS\")\n",
    "_ = cohort.plot_survival(on=signatures_normalized_value, signatures_list=[2,13], signature_df=sigs_df, \n",
    "                         how=\"pfs\",\n",
    "                         legend_label = \"APOBEC Signature\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## ERCC2 Signature"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mann-Whitney test: U=63.0, p-value=0.575488530703 (two-sided)\n"
     ]
    },
    {
     "data": {
      "image/png": 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gwQJYW1sbuqwaQfJ7JEQ2goA3zMww1swMvczMUItBQtXEw4cPsXPnThT+NUpz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\n/4Unjz/jfZGNAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f429b3cef50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "OS\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "# no condition 16\n",
      "# with condition 9\n"
     ]
    },
    {
     "data": {
      "image/png": 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AjBkzcPPmTfz111+4f/8+AKBp06bo1q0bOnbsWCtBiYhIN1VZaJ7VoUMHdOjQQcwsRERU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\nIimlQiMiIimlQiMiIin1FegREK2n6YYGAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f429cbc0750>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "PFS\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "# no condition 16\n",
      "# with condition 9\n"
     ]
    },
    {
     "data": {
      "image/png": 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lypQp8PPzQ7NmzTBlyhTY2dlBEAQIggBbW1vMnz9f3XHWONoGJYPFh+HxVRwJEZFqiToV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\nhUUIIcSA+g8+kJ/3qgjrNQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f42994a3710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ercc2 = [5]\n",
    "_ = cohort.plot_benefit(on=signatures_normalized_value, signatures_list=ercc2, signature_df=sigs_df)\n",
    "plt.show()\n",
    "print(\"OS\")\n",
    "_ = cohort.plot_survival(on=signatures_normalized_value, signatures_list=ercc2, signature_df=sigs_df, how=\"os\")\n",
    "plt.show()\n",
    "print(\"PFS\")\n",
    "_ = cohort.plot_survival(on=signatures_normalized_value, signatures_list=ercc2, signature_df=sigs_df, how=\"pfs\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Smoking Signature (Signature 4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mann-Whitney test: U=81.0, p-value=0.520761022121 (two-sided)\n"
     ]
    },
    {
     "data": {
      "image/png": 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jxoyBvb09MjMzsWfPHpSXl2PGjBk6L5aIiAxPjUEycuRI6c/r1q3DvXv3sHfvXri7u0vt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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f429c948ad0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "OS\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "# no condition 19\n",
      "# with condition 6\n"
     ]
    },
    {
     "data": {
      "image/png": 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IiESldNeZsg9oKtO8efM3DkNERDWP0kLj6uqqckMziUSCq1evVlkoIiKqOSo8GUAQhOrK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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f42dd6f6150>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "PFS\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "# no condition 19\n",
      "# with condition 6\n"
     ]
    },
    {
     "data": {
      "image/png": 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LLxASElKssiO9vqykLFxef6WiwyAiUitJiaVOnToQBAEvXrxAVFQU/Pz84OjoiEWLFuHG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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f429d079450>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "smoking = [4]\n",
    "_ = cohort.plot_benefit(on=signatures_normalized_value, signatures_list=smoking, signature_df=sigs_df)\n",
    "\n",
    "plt.show()\n",
    "print(\"OS\")\n",
    "_ = cohort.plot_survival(on=signatures_normalized_value, signatures_list=smoking, signature_df=sigs_df, how=\"os\")\n",
    "plt.show()\n",
    "print(\"PFS\")\n",
    "_ = cohort.plot_survival(on=signatures_normalized_value, signatures_list=smoking, signature_df=sigs_df, how=\"pfs\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Heatmap of responders/non-responders and signature deconvolution\n",
    "N.B. Samples 6229, 9723, 1233, 1994, 6428, and 9881 triggered a warning from deconstructSigs: \n",
    "> fewer than 50 mutations\n",
    "i.e. the authors saw that sparse mutational profiles had high deconvolution error rates (discussion in [the paper](http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4762164/))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/tavi/miniconda2/lib/python2.7/site-packages/ipykernel/__main__.py:5: FutureWarning: sort(columns=....) is deprecated, use sort_values(by=.....)\n"
     ]
    },
    {
     "data": {
      "image/png": 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k5W/c7PDaIXf8X53cu9Phdf1viZIklZcVO7y2u0+g0+pKzuv5XPExh9f1CAyW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\n3GMJTuJ5nmbPnv21nj0WFjfNd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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f429d5c48d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def create_clustermap(sigs, cohort, figure_path=None):\n",
    "    df = sigs[sigs.columns[1:31]]\n",
    "    cohort_df = cohort.as_dataframe()\n",
    "    full_df = df.join(cohort_df.set_index('patient_id')[\"benefit\"])\n",
    "    full_df.sort(columns=\"benefit\", inplace = True)\n",
    "    cm = sb.clustermap(full_df[full_df.columns[:30]], \n",
    "                 row_colors = ['green' if b else 'red' for b in full_df[\"benefit\"].values],\n",
    "                  figsize=(15,15), vmin = 0.05, \n",
    "                            linewidths = 0.5, col_cluster = False, row_cluster = False)\n",
    "\n",
    "    plt.setp(cm.ax_heatmap.yaxis.get_majorticklabels(), rotation=0)\n",
    "    \n",
    "    if figure_path is not None:\n",
    "        plt.savefig(figure_path)\n",
    "\n",
    "create_clustermap(sigs_df, cohort, \"../../data/perPatient_Sigs.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Compare cohort signatures vs. TCGA BLCA signatures  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "tcga_sigs = pd.read_csv(\"../../data/tcga_ds_corrected.csv\", header=None)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/tavi/miniconda2/lib/python2.7/site-packages/ipykernel/__main__.py:5: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame.\n",
      "Try using .loc[row_indexer,col_indexer] = value instead\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n"
     ]
    }
   ],
   "source": [
    "cohort_sigs = sigs_df[sigs_df.columns[1:31]]\n",
    "tcga_for_cm = tcga_sigs[tcga_sigs.columns[1:]]\n",
    "cohort_sigs.columns = tcga_for_cm.columns\n",
    "\n",
    "cohort_sigs[\"in_cohort\"] = cohort_sigs[cohort_sigs.columns[0]].apply(lambda x: True)\n",
    "tcga_for_cm[\"in_cohort\"] = tcga_for_cm[tcga_for_cm.columns[0]].apply(lambda x: False)\n",
    "all_samples = cohort_sigs.append(tcga_for_cm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "all_samples[\"cohort\"] = pd.Series([True for x in range(len(cohort_sigs))] + \n",
    "                                  [False for x in range(len(tcga_for_cm))])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "all_samples = all_samples.fillna(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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M+uBp2aWlJrmW2/qOLbU5cNpxaYvf4WjetcssO2vaNLNs+FtrZYVZdsaEYrNs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\nCCGEEEJeYP8HNM1BPAddKKcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f429c924410>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cm = sb.clustermap(all_samples[all_samples.columns[:30]], \n",
    "             row_colors = ['blue' if b else 'yellow' for b in all_samples[\"in_cohort\"].values],\n",
    " figsize=(15,15), col_cluster = False, row_cluster = False)\n",
    "#plt.setp(cm.ax_heatmap.yaxis.get_majorticklabels(), rotation=0)\n",
    "#plt.yticks(rotation=0)\n",
    "plt.savefig(\"../../data/tcga_blca_with_cohort_comparison_postbqsr_nofilter.png\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
